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Generalized Killing spinors and Lagrangian graphs
[OWP201411] (Mathematisches Forschungsinstitut Oberwolfach, 20140820)We study generalized Killing spinors on the standard sphere $\mathbb{S}^3$, which turn out to be related to Lagrangian embeddings in the nearly Kähler manifold $S^3 \times S^3$ and to great circle flows on $\mathbb{S}^3$. ... 
Generalized Vector Cross Products and Killing Forms on Negatively Curved Manifolds
[OWP201817] (Mathematisches Forschungsinstitut Oberwolfach, 20180717)Motivated by the study of Killing forms on compact Riemannian manifolds of negative sectional curvature, we introduce the notion of generalized vector cross products on $\mathbb{R}^n$ and give their classification. Using ... 
Geometric flows and 3manifolds : Oberwolfach Lecture 2005
[OWP200701] (Mathematisches Forschungsinstitut Oberwolfach, 2007)The current article arose from a lecture1 given by the author in October 2005 on the work of R. Hamilton and G. Perelman on Ricciflow and explains central analytical ingredients in geometric parabolic evolution equations ... 
Geometric quantization of integrable systems with hyperbolic singularities
[OWP200901] (Mathematisches Forschungsinstitut Oberwolfach, 2009)We construct the geometric quantization of a compact surface using a singular real polarization coming from an integrable system. Such a polarization always has singularities, which we assume to be of nondegenerate type. ... 
Geometry behind one of the Painlevé III differential equations
[SNAP2018010EN] (Mathematisches Forschungsinstitut Oberwolfach, 20180620)The Painlevé equations are second order differential equations, which were first studied more than 100 years ago. Nowadays they arise in many areas in mathematics and mathematical physics. This snapshot discusses the ... 
Geometry of Free Loci and Factorization of Noncommutative Polynomials
[OWP201723] (Mathematisches Forschungsinstitut Oberwolfach, 20171002)The free singularity locus of a noncommutative polynomial f is defined to be the sequence $Z_n(f)=\{X\in M_n^g : \det f(X)=0\}$ of hypersurfaces. The main theorem of this article shows that f is irreducible if and only if ... 
Geometry of higher dimensional algebraic varieties
[OWS26] (Birkhäuser Basel, 1997)This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of ... 
Getzler rescaling via adiabatic deformation and a renormalized local index formula
[OWP201618] (Mathematisches Forschungsinstitut Oberwolfach, 201610)We prove a local index theorem of AtiyahSinger type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). After introducing a renormalized supertrace on Lie manifolds with spin ... 
Ghost Algebras of Double Burnside Algebras via Schur Functors
[OWP201209] (Mathematisches Forschungsinstitut Oberwolfach, 20120703)For a finite group $G$, we introduce a multiplication on the $\mathbb{Q}$vector space with basis $\mathscr{S}_{G\times G}$, the set of subgroups of ${G \times G}$. The resulting $\mathbb{Q}$algebra $\tilde{A}$ can be ... 
Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
[OWP201504] (Mathematisches Forschungsinstitut Oberwolfach, 20150518)We study the one dimensional periodic derivative nonlinear Schrödinger (DNLS) equation. This is known to be a completely integrable system, in the sense that there is an infinite sequence of formal integrals of motion $\int ... 
Global Variants of Hartogs' Theorem
[OWP201824] (Mathematisches Forschungsinstitut Oberwolfach, 20181106)Hartogs' theorem asserts that a separately holomorphic function, defined on an open subset of $\mathbb{C}^n$, is holomorphic in all the variables. We prove a global variant of this theorem for functions defined on an open ... 
Gradient Canyons, Concentration of Curvature, and Lipschitz Invariants
[OWP201735] (Mathematisches Forschungsinstitut Oberwolfach, 20171213)We find new biLipschitz invariants of holomorphic functions of two variables by using the gradient canyons and by combining analytic and geometric viewpoints on the concentration of curvature. 
Graphical constructions for the sl(3), C2 and G2 invariants for virtual knots, virtual braids and free knots
[OWP201513] (Mathematisches Forschungsinstitut Oberwolfach, 20150731)We construct graphvalued analogues of the Kuperberg sl(3) and $G_2$ invariants for virtual knots. The restriction of the sl(3) and $G_2$ invariants for classical knots coincides with the usual Homflypt sl(3) invariant and ... 
A graphical interface for the GromovWitten theory of curves
[OWP201606] (Mathematisches Forschungsinstitut Oberwolfach, 20160510)We explore the explicit relationship between the descendant Gromov–Witten theory of target curves, operators on Fock spaces, and tropical curve counting. We prove a classical/tropical correspondence theorem for descendant ... 
Grassmannian connection between three and fourqubit observables, mermin's contextualities and black holes
[OWP201317] (Mathematisches Forschungsinstitut Oberwolfach, 20130723)We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting threequbit observables into 135 symmetric fourqubit ones. After labeling the elements of the former set in terms of a ... 
Group Algebras of Compact Groups. A New Way of Producing Group Hopf Algebras over Real and Complex Fields: Weakly Complete Topological Vector Spaces
[OWP201906] (Mathematisches Forschungsinstitut Oberwolfach, 20190227)Weakly complete real or complex associative algebras $A$ are necessarily projective limits of finite dimensional algebras. Their group of units $A^{1}$ is a proLie group with the associated topological Lie algebra $A_{\rm ... 
Group rings and class groups
[OWS18] (Birkhäuser Basel, 1992) 
Groups and graphs : new results and methods
[OWS06] (Birkhäuser Basel, 1985) 
Hecke duality relations of Jacobi forms
[OWP200803] (Mathematisches Forschungsinstitut Oberwolfach, 20080307)In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished ... 
HeisenbergWeyl algebra revisited: combinatorics of words and paths
[OWP200902] (Mathematisches Forschungsinstitut Oberwolfach, 2009)The Heisenberg–Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete model of the algebra in terms of paths on a ...